Answer:
420 names were read
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Rate of names read per minute at the graduation ceremony = 5
2. If the names had been read at the rate of seven names per minute, the ceremony would have taken 24 minutes less. How many names were read?
x = Number of minutes it takes to read the names at the rate of seven names per minute
x + 24 = Number of minutes it takes to read the names at the rate of five names per minute
Solving for x:
5 * (x + 24) = 7x
5x + 120 = 7x
5x - 7x = -120 (Subtracting 120 and 7x at both sides)
-2x = -120
x = -120/-2
x = 60 ⇒ 7x = 420
420 names were read
Which situation shows a constant rate of change? A. The number of points scored in a basketball game compared with the number of minutes played. B. The height of a monkey swinging from branch to branch over time. C. the height of a bouncing ball over time. D. The amount a person pays for gas compared with the number of gallons purchased.
Answer: D
Step-by-step explanation:
A constant rate of change means that for every x, y increases the same amount.
In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid. Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount. This means it has a constant rate of change.
HURRY I NEED HELP for 20 points
Beginning at the origin, how far do you travel along the y-axis when plotting the point below? (6, 12)
Answer:
the answer is 12
Step-by-step explanation:
because (6, 12) x axis is 6, and the 12 is the y axis. Meaning that you would go 12 along the y axis.
Answer:
I believe the answer is 12
In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.
The roll numbers of students begin with boys and end with girls. Find the probability
that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.
Answer:
The probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is [tex]\dfrac{4}{7}[/tex] .
Step-by-step explanation:
We are given that in a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.
The roll numbers of students begin with boys and end with girls.
Firstly, we will calculate the number of boys and girls in the class.
Number of boys in the class = [tex]\frac{4}{7}\times 35[/tex]
= [tex]4 \times 5[/tex] = 20
Number of girls in the class = [tex]\frac{3}{7}\times 35[/tex]
= [tex]3 \times 5[/tex] = 15
So, the roll numbers of boys are numbered as = {1, 2, 3,..........., 19, 20}
and the roll numbers of girls are numbered as = {21, 22, 23,..........., 34, 35}
Prime numbers are those numbers that come in their own tables and 1.
The roll number of boys having prime numbers are = {2, 3, 5, 7, 11, 13, 17, and 19}
There are total of 8 boys.
Composite numbers are those numbers that come in the tables of other numbers also.
The number of girls with composite roll number or an even roll number = {21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, and 35}
There are a total of 12 girls.
So, the total number of favorable boys and girls = 8 + 12 = 20
Total number of students in class = 35
So, the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is given by = [tex]\frac{20}{35}[/tex] = [tex]\frac{4}{7}[/tex] .
Point Q(-1,5) is reflected across the line x=-1. What are the coordinates of its image?
(15)
(1-5)
-1.5)
Answer:
(- 1, 5 )
Step-by-step explanation:
Since the x- coordinate of Q, x = - 1 lies on the line of reflection.
The point Q will remain unchanged, that is
coordinates of image are (- 1, 5 )
Find the value of the determinant.
3
-3
-5
a. -39
b. -33
C.
75
d
33
Answer:33
Step-by-step explanation: i just did the problem
SOMEONE PLS HELP ME!!! The mean of a set of five different positive integers is 15. The median is 18. Find the maximum possible value of the largest of these five integers.
Answer:
35
Step-by-step explanation:
We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:
15, 15, 15, 15, 15.
We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:
12, 15, 18, 15, 15.
Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:
1, 15, 18, 15, 26
Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:
1, 2, 18, 15, 39.
Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:
1, 2, 18, 19, 35.
Each value is distinct.
The largest possible value is 35.
Answer:
35.
Step-by-step explanation:
Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.
You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.
You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.
Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.
To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.
And there you have it! The maximum possible value of the largest of these five integers is 35.
Hope this helps!
Prove that 3(x+1)(x+7)-(2x+5) ^2 is never positive
Answer:
Step-by-step explanation:
It will never be positive becasue there is a negitive sign in the equation. negitives overule positives. Therefor it will never be positive.
Which of the following solution sets is all real numbers?
Ixl >-2
Ixl <-2
Ixl = -2
Answer
Ixl >-2
Step-by-step explanation:
Ixl >-2 it would be this cause the unknown number was positive number. Positive was bigger than negative.
Ixl <-2 it can’t -2 cause the unknown number was positive
Ixl = -2 it can’t be equal cause the number was unknown and it wasn’t negative
I hope I can help you
I wish you a open path to your bright future.
Let f be defined as shown. Which statement is
true?
Answers
The inverse of f exists
The inverse of f does not exists
Answer:
[tex]\boxed{\sf \ \ \ the \ inverse \ of \ f \ does \ not\ exist \ \ \ }[/tex]
Step-by-step explanation:
hello,
for one x you cannot get several values of f(x), otherwise this is not a function
as 6 and 7 gives 0 it means that
f(6)=f(7)=0 which is fine for f
but then for [tex]f^{-1}[/tex] it would mean that 0 has two different images
and this is not possible
so the inverse of f does not exist
hope this helps
Sam has a collection of yellow and red cards. Yellow cards are worth 3 points and
red cards are worth 5 points. He has at most 15 cards, totaling at least 45 points.
This can be modeled by the following system.
y + r < 15
3y + 5r > 45
Graph the system. Then use the graph to determine which combination is a
solution.
1. 3 yellow and 9 red
2. 6 yellow and 4 red
3. 9 yellow and 3 red
4. 12 yellow and 8 red
Answer:1.
1. 3 yellow and 9 red
Step-by-step explanation:
r, the amount of red cards, is represented ox x-axisy, the amount of yellow cards, is represented ox y-axisIn the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
Please help me match these formulas . :)
Answer:
1. equilateral triangle
2. rectangle
3. circle area
4. trapezoid
5. circle circumference
6. parallelogram
7. regular polygon
8. triangle
Hope that helps.
This graph shows how the length of time a canoe is rented is related to the rental cost. What is the rate of change shown in the graph? A. $3/hour B. 3 hours/dollar C. $6/hour D. 6 hours/dollar
Answer:
what is the answer?
Step-by-step explanation:
Answer:
C. $6/hour
Step-by-step explanation:
AP3X
Find the slope of a line parallel to the line
12x + 3y = 15.
A parallel line would have slope m =
The solution is
Answer:
The answer is - 4Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x + 3y = 15
Express it in the form y = mx + c
3y = -12x + 15
Divide all terms by 3
y = - 4x + 5
From the equation m = - 4
Since the lines are parallel their slope are also the same
So the slope of the parallel line is also - 4
Hope this helps you
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B. Quadratic Function
Quadratic Term: 15x^2
Linear Term: 9x
Constant Term: -6
Step-by-step explanation:
1. F.O.I.L (firsts, outers, inners, lasts) the function
BREAK APART: 3x(5x - 2) and 3(5x - 2)
(fx) = 15x^2 - 6x + 15x - 6
f(x) = 15x^2 + 9x - 6
There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.
I NEED HELP !!! If the probability of an event is StartFraction 2 over 7 EndFraction, what must be the probability of its complement?
StartFraction 1 over 7 EndFraction
StartFraction 2 over 7 EndFraction
StartFraction 4 over 7 EndFraction
StartFraction 5 over 7 EndFraction
Answer:
The answer is StartFraction 5 over 7 EndFraction
Answer:
The probability of the complement of the original event is 5/7.
Step-by-step explanation:
The probability of the complement of an event is 1 less the probability of the event, so
We get: 1 - 2/7, or 5/7
The probability of the complement of the original event is 5/7.
Note that 5/7 and 2/7 add up to 7/7, or 1.
Help help please.....Thanks
Hey there! :)
Answer:
56.7 kg.
Step-by-step explanation:
Use the density formula to solve for the mass:
D = m/V.
Rearrange in terms of mass, or 'm':
DV = m.
Solve for the volume:
0.06 × 0.9 × 1.5 = 0.081 m³.
Plug this into the equation along with the density:
700 × 0.081 = 56.7 kg.
given f(x) and g(x) = k.f(x), use the graph to determine the value of k
Answer: The answer is -3
Step-by-step explanation:
g(x)=kf(x)
g(-3)=kf(-3)
To solve this for k we will need to find the values for both g(-3) and f(-3).
g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.
g(-3)=-3
f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.
f(-3)=1
So our equation becomes:
g(-3)=kf(-3)
-3=k(1)
-3=k
So k=-3.
10 + 3² - 6 = 7 10 11 13
Answer:
13
Step-by-step explanation:
Evaluate 3² then add and subtract, that is
10 + 3² - 6
= 10 + 9 - 6
= 19 - 6
= 13
1/2(4x-12)=5 what is the value of x
Answer:
x = 11/2 = 5^1/2 =5.5
Step-by-step explanation:
1/2(4x-12)=5
Multiply both sides by 2, the reciprocal of 2/1 =0.5
4x−12=5×2
Multiply 5 and 2 to get 10.
4x−12=10
Add 12 to both sides.
4x=10+12
Add 10 and 12 to get 22.
4x=22
Divide both sides by 4.
x = 22/4
Reduce the fraction 4/22 =5.5 to lowest terms by extracting and canceling out 2.
x = 11/2
Answer:
5.5
Step-by-step explanation:
1/2(4x-12)=5 Distributive Property
2x-6=5 Open the Parentheses
2x=11 Add 6 to Both Sides
x=5.5 Divide Both Sides by 2
lmk if you have any other questions
What is the slope of the line shown below? A. -1/3 B. 1/3 C. -3 D. 3
Answer:
C. -3
Step-by-step explanation:
Plugging both of those points into the slope formula gets you a slope of -3.
Select the best answer for the question.
4. A population of bacteria increases by 30 every hour. Is this situation linear or exponential? Why?
A
Fynonential bocou the fi
Explanation: The population increases by the same amount each time, so the rate is constant, meaning we have linear growth. The slope of this line is 30.
jerry needs 2 gallons of paint to 600 square feet of wall space. how much area could he cover with 5 gallons of paint
Answer:
1500 square feet
Step-by-step explanation:
2 gallons of paint can cover 600 square feet
the ratio is 2:600 if you simplify you will get 1:300
We need to find how much we can cover with 5 gallons so just times each side of the ratio by 5 after simplifying.
Hope this helps
Answer:
1500 square feet
Step-by-step explanation:
2 gallons of paint can cover 600 square feet
the ratio is 2:600 if you simplify you will get 1:300
We need to find how much we can cover with 5 gallons so just times each side of the ratio by 5 after simplifying
Then determine which answer
On a piece of paper, graph f(x) =
(x if x < 1
11 if x 2 1
choice matches the graph you drew.
The required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
As mentioned in the question we have to sketch the graph of the function f(x) = {x when x < 1; 1 when x ≥ 1}.
Since the given function is the piece vice function.
The graph of the piece vice function is will be the function y = x for range x < 1, and y = 1 for x greater equal to 1.
Thus, the required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
Learn more about piece-wise function here:
https://brainly.com/question/16984860
#SPJ7
HELP QUICK ILL GIVE A Brainliest to the first person Which of the answer choices is a coordinate point from the table below?
Answer:
2/$5.00
Step-by-step explanation:
It's the only one that makes sense
Answer:
4,10
It is the only option on the table
Step-by-step explanation:
Find the value of the trigonometric ratio, sin L.
Answer:
a/h
Step-by-step explanation:
Using SOH CAH TOA. Sin = opposite/hypotenuse. Opposite of L is a, hypotenuse is h.
What is the form of the Sum of Cubes identity?
Answer:
D. a³+b³=(a+b)(a²-ab+b²)
Explanation:
That is the form of the Sum of Cubes identity
what is the square of 5.5?
Answer:
30.25
Step-by-step explanation:
Answer: 2.345
Step-by-step explanation:
The square root of 5.5 is 2.345.
the diagonals of a square are _____ each other
Answer: d) perpendicular bisectors of
Step-by-step explanation:
Answer:
The last option. D
Step-by-step explanation:
A. incorrect
B. a square is equal with its sides
And option C is also incorrect so it will be D
"perpendicular bisectors of" with is correct because all the sides of a square at equal with eachother
Instructions
Search your home for a rectangular prism. Some examples are a cereal
box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
Part 1).List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 3 1/2in
Width: 1 1/2in
Height: 7in
Part 2) Describe the shape of the cross section when the box is cut parallel to the base.
• The cross section had a rectangular shape and goes through the box minimizing the width of the shape.
Part 3) What is the surface area of the box?
• 80.5 square inches
Part 4) What is the surface area of the box if it is scaled up by a factor of 10?
• 805 square inches
Part 5) What is the volume of the box?
• 36.75 square inches
Part 6) What is the volume of the box if it is scaled down by a factor of 1/10?
Please help answer this question Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers? [Use the inequality 0.35x + 0.99y + 0.59 ≤ 4] (1 point) Select one: a. Yes, because the total will be $3.27 b. Yes, because the total will be $1.93 c. No, because the total will be $4.27 d. No, because the total will be $5.93
Answer: A
Since you already have an equation just put in how many stickers and erasers she wants to get: 0.35(2)+0.99(2)+0.59≤4.
Then you multiply: .35(2)=.70. .99(2)=1.98.
Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 so the answer is A
Answer:
A. yes, because the total will be $3.27
Step-by-step explanation:
0.35x + 0.99y + 0.59 ≤ 4
0.35(2) + 0.99(2) + 0.59 ≤ 4
0.70 + 1.98 + 0.59 ≤ 4
3.27 ≤ 4